What is the average power dissipation in an ideal capacitor in an $AC$ circuit?

The inductive reactance of a coil is $R \ \Omega$. If the inductance of the coil is tripled and the frequency of the $A.C.$ supply is also tripled,then the new inductive reactance will be:

$(i)$ What is the angle between the phasor of $V_R$ and $I$?
$(ii)$ The voltage phasor $V_C$ is ...... of the current phasor $I$. (Fill in the blank)

$A$ parallel plate capacitor having plates of radius $6 \text{ cm}$ has capacitance $100 \text{ pF}$. It is connected to a $230 \text{ V}$ a.c. supply with angular frequency $300 \text{ rad/s}$. The r.m.s. value of current is:

$A$ $44 \; mH$ inductor is connected to $220 \; V, 50 \; Hz$ $ac$ supply. Determine the $rms$ value of the current (in $A$) in the circuit.

An inductor is connected to an $AC$ source of frequency $50 \ Hz$. The frequency of the instantaneous power developed in the circuit is (in $Hz$)